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Finding the Fourth Proportional to 56,076, 77,384.96 and 30,925.44

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Solution

The fourth proportional to 56,076, 77,384.96 and 30,925.44 is: 42,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076 : 77,384.96 = 30,925.44 : x
  2. Step 2: Convert to fraction form
    56,076/77,384.96 = 30,925.44/x
  3. Step 3: Cross multiply
    56,076x = 77,384.96 × 30,925.44
  4. Step 4: Simplify right side
    56,076x = 2,393,163,937.38
  5. Step 5: Solve for x
    x = 2,393,163,937.38/56,076
  6. Step 6: Final answer
    x = 42,677.15

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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.