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Finding the Fourth Proportional to 77,023.60, 115,477.80 and 42,002.80

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Solution

The fourth proportional to 77,023.60, 115,477.80 and 42,002.80 is: 62,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,023.60 : 115,477.80 = 42,002.80 : x
  2. Step 2: Convert to fraction form
    77,023.60/115,477.80 = 42,002.80/x
  3. Step 3: Cross multiply
    77,023.60x = 115,477.80 × 42,002.80
  4. Step 4: Simplify right side
    77,023.60x = 4,850,390,937.84
  5. Step 5: Solve for x
    x = 4,850,390,937.84/77,023.60
  6. Step 6: Final answer
    x = 62,972.79

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1.5x scale

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.