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Finding the Fourth Proportional to 77,441, 106,869.54 and 42,113

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Solution

The fourth proportional to 77,441, 106,869.54 and 42,113 is: 58,116.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441 : 106,869.54 = 42,113 : x
  2. Step 2: Convert to fraction form
    77,441/106,869.54 = 42,113/x
  3. Step 3: Cross multiply
    77,441x = 106,869.54 × 42,113
  4. Step 4: Simplify right side
    77,441x = 4,500,596,938.02
  5. Step 5: Solve for x
    x = 4,500,596,938.02/77,441
  6. Step 6: Final answer
    x = 58,116.46

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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.