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Finding the Fourth Proportional to 76,381.50, 105,407.19 and 42,848.22

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Solution

The fourth proportional to 76,381.50, 105,407.19 and 42,848.22 is: 59,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381.50 : 105,407.19 = 42,848.22 : x
  2. Step 2: Convert to fraction form
    76,381.50/105,407.19 = 42,848.22/x
  3. Step 3: Cross multiply
    76,381.50x = 105,407.19 × 42,848.22
  4. Step 4: Simplify right side
    76,381.50x = 4,516,510,466.70
  5. Step 5: Solve for x
    x = 4,516,510,466.70/76,381.50
  6. Step 6: Final answer
    x = 59,130.95

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1.5x scale

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.