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Finding the Fourth Proportional to 153,876.76, 230,812.73 and 78,953.66

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Solution

The fourth proportional to 153,876.76, 230,812.73 and 78,953.66 is: 118,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,876.76 : 230,812.73 = 78,953.66 : x
  2. Step 2: Convert to fraction form
    153,876.76/230,812.73 = 78,953.66/x
  3. Step 3: Cross multiply
    153,876.76x = 230,812.73 × 78,953.66
  4. Step 4: Simplify right side
    153,876.76x = 18,223,509,808.09
  5. Step 5: Solve for x
    x = 18,223,509,808.09/153,876.76
  6. Step 6: Final answer
    x = 118,429.25

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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.