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Finding the Fourth Proportional to 102,034.54, 153,111.30 and 42,865.66

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Solution

The fourth proportional to 102,034.54, 153,111.30 and 42,865.66 is: 64,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.54 : 153,111.30 = 42,865.66 : x
  2. Step 2: Convert to fraction form
    102,034.54/153,111.30 = 42,865.66/x
  3. Step 3: Cross multiply
    102,034.54x = 153,111.30 × 42,865.66
  4. Step 4: Simplify right side
    102,034.54x = 6,563,216,927.96
  5. Step 5: Solve for x
    x = 6,563,216,927.96/102,034.54
  6. Step 6: Final answer
    x = 64,323.48

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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.