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Finding the Fourth Proportional to 103,698.85, 155,631.32 and 47,565.40

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Solution

The fourth proportional to 103,698.85, 155,631.32 and 47,565.40 is: 71,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.85 : 155,631.32 = 47,565.40 : x
  2. Step 2: Convert to fraction form
    103,698.85/155,631.32 = 47,565.40/x
  3. Step 3: Cross multiply
    103,698.85x = 155,631.32 × 47,565.40
  4. Step 4: Simplify right side
    103,698.85x = 7,402,665,988.33
  5. Step 5: Solve for x
    x = 7,402,665,988.33/103,698.85
  6. Step 6: Final answer
    x = 71,386.19

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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.