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Finding the Fourth Proportional to 101,902.59, 153,013.86 and 86,312.05

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Solution

The fourth proportional to 101,902.59, 153,013.86 and 86,312.05 is: 129,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.59 : 153,013.86 = 86,312.05 : x
  2. Step 2: Convert to fraction form
    101,902.59/153,013.86 = 86,312.05/x
  3. Step 3: Cross multiply
    101,902.59x = 153,013.86 × 86,312.05
  4. Step 4: Simplify right side
    101,902.59x = 13,206,939,552.48
  5. Step 5: Solve for x
    x = 13,206,939,552.48/101,902.59
  6. Step 6: Final answer
    x = 129,603.57

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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.