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Finding the Fourth Proportional to 97,077, 133,929.90 and 56,777.88

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Solution

The fourth proportional to 97,077, 133,929.90 and 56,777.88 is: 78,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077 : 133,929.90 = 56,777.88 : x
  2. Step 2: Convert to fraction form
    97,077/133,929.90 = 56,777.88/x
  3. Step 3: Cross multiply
    97,077x = 133,929.90 × 56,777.88
  4. Step 4: Simplify right side
    97,077x = 7,604,255,790.61
  5. Step 5: Solve for x
    x = 7,604,255,790.61/97,077
  6. Step 6: Final answer
    x = 78,332.21

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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.