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Finding the Fourth Proportional to 77,189.60, 106,542.60 and 45,368.72

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Solution

The fourth proportional to 77,189.60, 106,542.60 and 45,368.72 is: 62,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.60 : 106,542.60 = 45,368.72 : x
  2. Step 2: Convert to fraction form
    77,189.60/106,542.60 = 45,368.72/x
  3. Step 3: Cross multiply
    77,189.60x = 106,542.60 × 45,368.72
  4. Step 4: Simplify right side
    77,189.60x = 4,833,701,387.47
  5. Step 5: Solve for x
    x = 4,833,701,387.47/77,189.60
  6. Step 6: Final answer
    x = 62,621.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.