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Finding the Fourth Proportional to 142,271.40, 213,417.90 and 42,423.78

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Solution

The fourth proportional to 142,271.40, 213,417.90 and 42,423.78 is: 63,638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,271.40 : 213,417.90 = 42,423.78 : x
  2. Step 2: Convert to fraction form
    142,271.40/213,417.90 = 42,423.78/x
  3. Step 3: Cross multiply
    142,271.40x = 213,417.90 × 42,423.78
  4. Step 4: Simplify right side
    142,271.40x = 9,053,994,037.66
  5. Step 5: Solve for x
    x = 9,053,994,037.66/142,271.40
  6. Step 6: Final answer
    x = 63,638.89

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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.