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Finding the Fourth Proportional to 70,862.40, 106,244.24 and 31,398.16

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Solution

The fourth proportional to 70,862.40, 106,244.24 and 31,398.16 is: 47,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,862.40 : 106,244.24 = 31,398.16 : x
  2. Step 2: Convert to fraction form
    70,862.40/106,244.24 = 31,398.16/x
  3. Step 3: Cross multiply
    70,862.40x = 106,244.24 × 31,398.16
  4. Step 4: Simplify right side
    70,862.40x = 3,335,873,646.60
  5. Step 5: Solve for x
    x = 3,335,873,646.60/70,862.40
  6. Step 6: Final answer
    x = 47,075.37

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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.