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Finding the Fourth Proportional to 102,643.60, 141,710.70 and 70,431.14

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Solution

The fourth proportional to 102,643.60, 141,710.70 and 70,431.14 is: 97,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,643.60 : 141,710.70 = 70,431.14 : x
  2. Step 2: Convert to fraction form
    102,643.60/141,710.70 = 70,431.14/x
  3. Step 3: Cross multiply
    102,643.60x = 141,710.70 × 70,431.14
  4. Step 4: Simplify right side
    102,643.60x = 9,980,846,151.20
  5. Step 5: Solve for x
    x = 9,980,846,151.20/102,643.60
  6. Step 6: Final answer
    x = 97,237.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.