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Finding the Fourth Proportional to 145,223.60, 217,835.40 and 103,233.20

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Solution

The fourth proportional to 145,223.60, 217,835.40 and 103,233.20 is: 154,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223.60 : 217,835.40 = 103,233.20 : x
  2. Step 2: Convert to fraction form
    145,223.60/217,835.40 = 103,233.20/x
  3. Step 3: Cross multiply
    145,223.60x = 217,835.40 × 103,233.20
  4. Step 4: Simplify right side
    145,223.60x = 22,487,845,415.28
  5. Step 5: Solve for x
    x = 22,487,845,415.28/145,223.60
  6. Step 6: Final answer
    x = 154,849.80

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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.