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Finding the Fourth Proportional to 105,110.90, 157,407.15 and 69,859.70

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Solution

The fourth proportional to 105,110.90, 157,407.15 and 69,859.70 is: 104,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.90 : 157,407.15 = 69,859.70 : x
  2. Step 2: Convert to fraction form
    105,110.90/157,407.15 = 69,859.70/x
  3. Step 3: Cross multiply
    105,110.90x = 157,407.15 × 69,859.70
  4. Step 4: Simplify right side
    105,110.90x = 10,996,416,276.86
  5. Step 5: Solve for x
    x = 10,996,416,276.86/105,110.90
  6. Step 6: Final answer
    x = 104,617.28

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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.