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Finding the Fourth Proportional to 52,347.80, 72,258.72 and 31,127

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Solution

The fourth proportional to 52,347.80, 72,258.72 and 31,127 is: 42,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,347.80 : 72,258.72 = 31,127 : x
  2. Step 2: Convert to fraction form
    52,347.80/72,258.72 = 31,127/x
  3. Step 3: Cross multiply
    52,347.80x = 72,258.72 × 31,127
  4. Step 4: Simplify right side
    52,347.80x = 2,249,197,177.44
  5. Step 5: Solve for x
    x = 2,249,197,177.44/52,347.80
  6. Step 6: Final answer
    x = 42,966.41

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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.