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Finding the Fourth Proportional to 153,314.08, 230,018.13 and 78,487.25

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Solution

The fourth proportional to 153,314.08, 230,018.13 and 78,487.25 is: 117,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,314.08 : 230,018.13 = 78,487.25 : x
  2. Step 2: Convert to fraction form
    153,314.08/230,018.13 = 78,487.25/x
  3. Step 3: Cross multiply
    153,314.08x = 230,018.13 × 78,487.25
  4. Step 4: Simplify right side
    153,314.08x = 18,053,489,323.75
  5. Step 5: Solve for x
    x = 18,053,489,323.75/153,314.08
  6. Step 6: Final answer
    x = 117,754.93

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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.