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Finding the Fourth Proportional to 77,356.71, 106,752.14 and 47,142.15

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Solution

The fourth proportional to 77,356.71, 106,752.14 and 47,142.15 is: 65,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.71 : 106,752.14 = 47,142.15 : x
  2. Step 2: Convert to fraction form
    77,356.71/106,752.14 = 47,142.15/x
  3. Step 3: Cross multiply
    77,356.71x = 106,752.14 × 47,142.15
  4. Step 4: Simplify right side
    77,356.71x = 5,032,525,160.99
  5. Step 5: Solve for x
    x = 5,032,525,160.99/77,356.71
  6. Step 6: Final answer
    x = 65,056.09

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1.5x scale

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.