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Finding the Fourth Proportional to 153,411.60, 230,117.40 and 142,006.80

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Solution

The fourth proportional to 153,411.60, 230,117.40 and 142,006.80 is: 213,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411.60 : 230,117.40 = 142,006.80 : x
  2. Step 2: Convert to fraction form
    153,411.60/230,117.40 = 142,006.80/x
  3. Step 3: Cross multiply
    153,411.60x = 230,117.40 × 142,006.80
  4. Step 4: Simplify right side
    153,411.60x = 32,678,235,598.32
  5. Step 5: Solve for x
    x = 32,678,235,598.32/153,411.60
  6. Step 6: Final answer
    x = 213,010.20

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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.