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Finding the Fourth Proportional to 103,188.34, 142,401.54 and 57,876.40

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Solution

The fourth proportional to 103,188.34, 142,401.54 and 57,876.40 is: 79,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,188.34 : 142,401.54 = 57,876.40 : x
  2. Step 2: Convert to fraction form
    103,188.34/142,401.54 = 57,876.40/x
  3. Step 3: Cross multiply
    103,188.34x = 142,401.54 × 57,876.40
  4. Step 4: Simplify right side
    103,188.34x = 8,241,688,489.66
  5. Step 5: Solve for x
    x = 8,241,688,489.66/103,188.34
  6. Step 6: Final answer
    x = 79,870.35

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