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Finding the Fourth Proportional to 302,023.60, 453,024.90 and 77,385.90

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Solution

The fourth proportional to 302,023.60, 453,024.90 and 77,385.90 is: 116,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,023.60 : 453,024.90 = 77,385.90 : x
  2. Step 2: Convert to fraction form
    302,023.60/453,024.90 = 77,385.90/x
  3. Step 3: Cross multiply
    302,023.60x = 453,024.90 × 77,385.90
  4. Step 4: Simplify right side
    302,023.60x = 35,057,739,608.91
  5. Step 5: Solve for x
    x = 35,057,739,608.91/302,023.60
  6. Step 6: Final answer
    x = 116,076.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.