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Finding the Fourth Proportional to 102,539.10, 153,808.65 and 97,700.70

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Solution

The fourth proportional to 102,539.10, 153,808.65 and 97,700.70 is: 146,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,539.10 : 153,808.65 = 97,700.70 : x
  2. Step 2: Convert to fraction form
    102,539.10/153,808.65 = 97,700.70/x
  3. Step 3: Cross multiply
    102,539.10x = 153,808.65 × 97,700.70
  4. Step 4: Simplify right side
    102,539.10x = 15,027,212,771.06
  5. Step 5: Solve for x
    x = 15,027,212,771.06/102,539.10
  6. Step 6: Final answer
    x = 146,551.05

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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.