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Finding the Fourth Proportional to 97,686.80, 146,854.20 and 84,856.40

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Solution

The fourth proportional to 97,686.80, 146,854.20 and 84,856.40 is: 127,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,686.80 : 146,854.20 = 84,856.40 : x
  2. Step 2: Convert to fraction form
    97,686.80/146,854.20 = 84,856.40/x
  3. Step 3: Cross multiply
    97,686.80x = 146,854.20 × 84,856.40
  4. Step 4: Simplify right side
    97,686.80x = 12,461,518,736.88
  5. Step 5: Solve for x
    x = 12,461,518,736.88/97,686.80
  6. Step 6: Final answer
    x = 127,566.05

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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.