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Finding the Fourth Proportional to 121,776.80, 182,972.40 and 77,424.80

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Solution

The fourth proportional to 121,776.80, 182,972.40 and 77,424.80 is: 116,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,776.80 : 182,972.40 = 77,424.80 : x
  2. Step 2: Convert to fraction form
    121,776.80/182,972.40 = 77,424.80/x
  3. Step 3: Cross multiply
    121,776.80x = 182,972.40 × 77,424.80
  4. Step 4: Simplify right side
    121,776.80x = 14,166,601,475.52
  5. Step 5: Solve for x
    x = 14,166,601,475.52/121,776.80
  6. Step 6: Final answer
    x = 116,332.52

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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.