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Finding the Fourth Proportional to 153,998.70, 231,084.45 and 65,237.10

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Solution

The fourth proportional to 153,998.70, 231,084.45 and 65,237.10 is: 97,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,998.70 : 231,084.45 = 65,237.10 : x
  2. Step 2: Convert to fraction form
    153,998.70/231,084.45 = 65,237.10/x
  3. Step 3: Cross multiply
    153,998.70x = 231,084.45 × 65,237.10
  4. Step 4: Simplify right side
    153,998.70x = 15,075,279,373.10
  5. Step 5: Solve for x
    x = 15,075,279,373.10/153,998.70
  6. Step 6: Final answer
    x = 97,892.25

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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.