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Finding the Fourth Proportional to 103,547.97, 155,223.53 and 66,002.65

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Solution

The fourth proportional to 103,547.97, 155,223.53 and 66,002.65 is: 98,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.97 : 155,223.53 = 66,002.65 : x
  2. Step 2: Convert to fraction form
    103,547.97/155,223.53 = 66,002.65/x
  3. Step 3: Cross multiply
    103,547.97x = 155,223.53 × 66,002.65
  4. Step 4: Simplify right side
    103,547.97x = 10,245,164,322.35
  5. Step 5: Solve for x
    x = 10,245,164,322.35/103,547.97
  6. Step 6: Final answer
    x = 98,941.24

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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.