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Finding the Fourth Proportional to 105,159.90, 157,480.65 and 69,908.70

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Solution

The fourth proportional to 105,159.90, 157,480.65 and 69,908.70 is: 104,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,159.90 : 157,480.65 = 69,908.70 : x
  2. Step 2: Convert to fraction form
    105,159.90/157,480.65 = 69,908.70/x
  3. Step 3: Cross multiply
    105,159.90x = 157,480.65 × 69,908.70
  4. Step 4: Simplify right side
    105,159.90x = 11,009,267,516.66
  5. Step 5: Solve for x
    x = 11,009,267,516.66/105,159.90
  6. Step 6: Final answer
    x = 104,690.74

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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.