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Finding the Fourth Proportional to 67,830.70, 101,746.05 and 57,808.30

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Solution

The fourth proportional to 67,830.70, 101,746.05 and 57,808.30 is: 86,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.70 : 101,746.05 = 57,808.30 : x
  2. Step 2: Convert to fraction form
    67,830.70/101,746.05 = 57,808.30/x
  3. Step 3: Cross multiply
    67,830.70x = 101,746.05 × 57,808.30
  4. Step 4: Simplify right side
    67,830.70x = 5,881,766,182.22
  5. Step 5: Solve for x
    x = 5,881,766,182.22/67,830.70
  6. Step 6: Final answer
    x = 86,712.45

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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.