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Finding the Fourth Proportional to 76,643.95, 105,678.18 and 52,456.58

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Solution

The fourth proportional to 76,643.95, 105,678.18 and 52,456.58 is: 72,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643.95 : 105,678.18 = 52,456.58 : x
  2. Step 2: Convert to fraction form
    76,643.95/105,678.18 = 52,456.58/x
  3. Step 3: Cross multiply
    76,643.95x = 105,678.18 × 52,456.58
  4. Step 4: Simplify right side
    76,643.95x = 5,543,515,921.01
  5. Step 5: Solve for x
    x = 5,543,515,921.01/76,643.95
  6. Step 6: Final answer
    x = 72,328.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.