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Finding the Fourth Proportional to 76,561.70, 105,655.24 and 42,569.82

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Solution

The fourth proportional to 76,561.70, 105,655.24 and 42,569.82 is: 58,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,561.70 : 105,655.24 = 42,569.82 : x
  2. Step 2: Convert to fraction form
    76,561.70/105,655.24 = 42,569.82/x
  3. Step 3: Cross multiply
    76,561.70x = 105,655.24 × 42,569.82
  4. Step 4: Simplify right side
    76,561.70x = 4,497,724,602.07
  5. Step 5: Solve for x
    x = 4,497,724,602.07/76,561.70
  6. Step 6: Final answer
    x = 58,746.41

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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.