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Finding the Fourth Proportional to 86,712.80, 130,036.80 and 34,111.40

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Solution

The fourth proportional to 86,712.80, 130,036.80 and 34,111.40 is: 51,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,712.80 : 130,036.80 = 34,111.40 : x
  2. Step 2: Convert to fraction form
    86,712.80/130,036.80 = 34,111.40/x
  3. Step 3: Cross multiply
    86,712.80x = 130,036.80 × 34,111.40
  4. Step 4: Simplify right side
    86,712.80x = 4,435,737,299.52
  5. Step 5: Solve for x
    x = 4,435,737,299.52/86,712.80
  6. Step 6: Final answer
    x = 51,154.35

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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.