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Finding the Fourth Proportional to 103,083.78, 142,283.64 and 60,655.98

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Solution

The fourth proportional to 103,083.78, 142,283.64 and 60,655.98 is: 83,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083.78 : 142,283.64 = 60,655.98 : x
  2. Step 2: Convert to fraction form
    103,083.78/142,283.64 = 60,655.98/x
  3. Step 3: Cross multiply
    103,083.78x = 142,283.64 × 60,655.98
  4. Step 4: Simplify right side
    103,083.78x = 8,630,353,622.17
  5. Step 5: Solve for x
    x = 8,630,353,622.17/103,083.78
  6. Step 6: Final answer
    x = 83,721.74

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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.