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Finding the Fourth Proportional to 98,286.40, 147,210.90 and 85,164.40

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Solution

The fourth proportional to 98,286.40, 147,210.90 and 85,164.40 is: 127,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,286.40 : 147,210.90 = 85,164.40 : x
  2. Step 2: Convert to fraction form
    98,286.40/147,210.90 = 85,164.40/x
  3. Step 3: Cross multiply
    98,286.40x = 147,210.90 × 85,164.40
  4. Step 4: Simplify right side
    98,286.40x = 12,537,127,971.96
  5. Step 5: Solve for x
    x = 12,537,127,971.96/98,286.40
  6. Step 6: Final answer
    x = 127,557.10

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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.