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Finding the Fourth Proportional to 115,776, 159,770.88 and 62,784

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Solution

The fourth proportional to 115,776, 159,770.88 and 62,784 is: 86,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,776 : 159,770.88 = 62,784 : x
  2. Step 2: Convert to fraction form
    115,776/159,770.88 = 62,784/x
  3. Step 3: Cross multiply
    115,776x = 159,770.88 × 62,784
  4. Step 4: Simplify right side
    115,776x = 10,031,054,929.92
  5. Step 5: Solve for x
    x = 10,031,054,929.92/115,776
  6. Step 6: Final answer
    x = 86,641.92

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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.