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Finding the Fourth Proportional to 81,070.40, 121,346.40 and 57,742.40

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Solution

The fourth proportional to 81,070.40, 121,346.40 and 57,742.40 is: 86,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,070.40 : 121,346.40 = 57,742.40 : x
  2. Step 2: Convert to fraction form
    81,070.40/121,346.40 = 57,742.40/x
  3. Step 3: Cross multiply
    81,070.40x = 121,346.40 × 57,742.40
  4. Step 4: Simplify right side
    81,070.40x = 7,006,832,367.36
  5. Step 5: Solve for x
    x = 7,006,832,367.36/81,070.40
  6. Step 6: Final answer
    x = 86,428.98

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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.