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Finding the Fourth Proportional to 153,610.31, 230,454.35 and 42,802.31

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Solution

The fourth proportional to 153,610.31, 230,454.35 and 42,802.31 is: 64,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,610.31 : 230,454.35 = 42,802.31 : x
  2. Step 2: Convert to fraction form
    153,610.31/230,454.35 = 42,802.31/x
  3. Step 3: Cross multiply
    153,610.31x = 230,454.35 × 42,802.31
  4. Step 4: Simplify right side
    153,610.31x = 9,863,979,052.18
  5. Step 5: Solve for x
    x = 9,863,979,052.18/153,610.31
  6. Step 6: Final answer
    x = 64,214.30

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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.