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Finding the Fourth Proportional to 272,084.80, 408,017.84 and 103,547.30

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Solution

The fourth proportional to 272,084.80, 408,017.84 and 103,547.30 is: 155,279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,084.80 : 408,017.84 = 103,547.30 : x
  2. Step 2: Convert to fraction form
    272,084.80/408,017.84 = 103,547.30/x
  3. Step 3: Cross multiply
    272,084.80x = 408,017.84 × 103,547.30
  4. Step 4: Simplify right side
    272,084.80x = 42,249,145,683.83
  5. Step 5: Solve for x
    x = 42,249,145,683.83/272,084.80
  6. Step 6: Final answer
    x = 155,279.33

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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.