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Finding the Fourth Proportional to 70,878.60, 106,342.50 and 31,463.39

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Solution

The fourth proportional to 70,878.60, 106,342.50 and 31,463.39 is: 47,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.60 : 106,342.50 = 31,463.39 : x
  2. Step 2: Convert to fraction form
    70,878.60/106,342.50 = 31,463.39/x
  3. Step 3: Cross multiply
    70,878.60x = 106,342.50 × 31,463.39
  4. Step 4: Simplify right side
    70,878.60x = 3,345,895,019.36
  5. Step 5: Solve for x
    x = 3,345,895,019.36/70,878.60
  6. Step 6: Final answer
    x = 47,206.00

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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.