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Finding the Fourth Proportional to 142,702.60, 214,053.90 and 42,878.20

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Solution

The fourth proportional to 142,702.60, 214,053.90 and 42,878.20 is: 64,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.60 : 214,053.90 = 42,878.20 : x
  2. Step 2: Convert to fraction form
    142,702.60/214,053.90 = 42,878.20/x
  3. Step 3: Cross multiply
    142,702.60x = 214,053.90 × 42,878.20
  4. Step 4: Simplify right side
    142,702.60x = 9,178,245,934.98
  5. Step 5: Solve for x
    x = 9,178,245,934.98/142,702.60
  6. Step 6: Final answer
    x = 64,317.30

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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.