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Finding the Fourth Proportional to 102,652.30, 153,978.45 and 97,840.90

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Solution

The fourth proportional to 102,652.30, 153,978.45 and 97,840.90 is: 146,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.30 : 153,978.45 = 97,840.90 : x
  2. Step 2: Convert to fraction form
    102,652.30/153,978.45 = 97,840.90/x
  3. Step 3: Cross multiply
    102,652.30x = 153,978.45 × 97,840.90
  4. Step 4: Simplify right side
    102,652.30x = 15,065,390,128.61
  5. Step 5: Solve for x
    x = 15,065,390,128.61/102,652.30
  6. Step 6: Final answer
    x = 146,761.35

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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.