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Finding the Fourth Proportional to 70,870.46, 106,291.08 and 31,402.40

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Solution

The fourth proportional to 70,870.46, 106,291.08 and 31,402.40 is: 47,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,870.46 : 106,291.08 = 31,402.40 : x
  2. Step 2: Convert to fraction form
    70,870.46/106,291.08 = 31,402.40/x
  3. Step 3: Cross multiply
    70,870.46x = 106,291.08 × 31,402.40
  4. Step 4: Simplify right side
    70,870.46x = 3,337,795,010.59
  5. Step 5: Solve for x
    x = 3,337,795,010.59/70,870.46
  6. Step 6: Final answer
    x = 47,097.13

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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.