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Finding the Fourth Proportional to 142,312.40, 213,479.42 and 42,464.80

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Solution

The fourth proportional to 142,312.40, 213,479.42 and 42,464.80 is: 63,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,312.40 : 213,479.42 = 42,464.80 : x
  2. Step 2: Convert to fraction form
    142,312.40/213,479.42 = 42,464.80/x
  3. Step 3: Cross multiply
    142,312.40x = 213,479.42 × 42,464.80
  4. Step 4: Simplify right side
    142,312.40x = 9,065,360,874.42
  5. Step 5: Solve for x
    x = 9,065,360,874.42/142,312.40
  6. Step 6: Final answer
    x = 63,700.43

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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.