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Finding the Fourth Proportional to 96,578, 133,278.12 and 56,319.68

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Solution

The fourth proportional to 96,578, 133,278.12 and 56,319.68 is: 77,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,578 : 133,278.12 = 56,319.68 : x
  2. Step 2: Convert to fraction form
    96,578/133,278.12 = 56,319.68/x
  3. Step 3: Cross multiply
    96,578x = 133,278.12 × 56,319.68
  4. Step 4: Simplify right side
    96,578x = 7,506,181,069.40
  5. Step 5: Solve for x
    x = 7,506,181,069.40/96,578
  6. Step 6: Final answer
    x = 77,721.44

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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.