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Finding the Fourth Proportional to 101,953.47, 152,930.22 and 31,838.79

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Solution

The fourth proportional to 101,953.47, 152,930.22 and 31,838.79 is: 47,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.47 : 152,930.22 = 31,838.79 : x
  2. Step 2: Convert to fraction form
    101,953.47/152,930.22 = 31,838.79/x
  3. Step 3: Cross multiply
    101,953.47x = 152,930.22 × 31,838.79
  4. Step 4: Simplify right side
    101,953.47x = 4,869,113,159.23
  5. Step 5: Solve for x
    x = 4,869,113,159.23/101,953.47
  6. Step 6: Final answer
    x = 47,758.19

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1.5x scale

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.