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Finding the Fourth Proportional to 102,030.66, 153,046.35 and 30,953.91

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Solution

The fourth proportional to 102,030.66, 153,046.35 and 30,953.91 is: 46,430.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.66 : 153,046.35 = 30,953.91 : x
  2. Step 2: Convert to fraction form
    102,030.66/153,046.35 = 30,953.91/x
  3. Step 3: Cross multiply
    102,030.66x = 153,046.35 × 30,953.91
  4. Step 4: Simplify right side
    102,030.66x = 4,737,382,943.73
  5. Step 5: Solve for x
    x = 4,737,382,943.73/102,030.66
  6. Step 6: Final answer
    x = 46,430.97

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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.