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Finding the Fourth Proportional to 117,663.12, 162,332.16 and 77,398.56

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Solution

The fourth proportional to 117,663.12, 162,332.16 and 77,398.56 is: 106,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,663.12 : 162,332.16 = 77,398.56 : x
  2. Step 2: Convert to fraction form
    117,663.12/162,332.16 = 77,398.56/x
  3. Step 3: Cross multiply
    117,663.12x = 162,332.16 × 77,398.56
  4. Step 4: Simplify right side
    117,663.12x = 12,564,275,425.69
  5. Step 5: Solve for x
    x = 12,564,275,425.69/117,663.12
  6. Step 6: Final answer
    x = 106,781.76

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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.