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Finding the Fourth Proportional to 145,807.90, 218,711.85 and 83,434.30

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Solution

The fourth proportional to 145,807.90, 218,711.85 and 83,434.30 is: 125,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,807.90 : 218,711.85 = 83,434.30 : x
  2. Step 2: Convert to fraction form
    145,807.90/218,711.85 = 83,434.30/x
  3. Step 3: Cross multiply
    145,807.90x = 218,711.85 × 83,434.30
  4. Step 4: Simplify right side
    145,807.90x = 18,248,070,106.46
  5. Step 5: Solve for x
    x = 18,248,070,106.46/145,807.90
  6. Step 6: Final answer
    x = 125,151.45

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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.