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Finding the Fourth Proportional to 30,342,642.40, 45,513,963.60 and 20,138,975.20

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Solution

The fourth proportional to 30,342,642.40, 45,513,963.60 and 20,138,975.20 is: 30,208,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342,642.40 : 45,513,963.60 = 20,138,975.20 : x
  2. Step 2: Convert to fraction form
    30,342,642.40/45,513,963.60 = 20,138,975.20/x
  3. Step 3: Cross multiply
    30,342,642.40x = 45,513,963.60 × 20,138,975.20
  4. Step 4: Simplify right side
    30,342,642.40x = 916,604,584,194,102.75
  5. Step 5: Solve for x
    x = 916,604,584,194,102.75/30,342,642.40
  6. Step 6: Final answer
    x = 30,208,462.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.