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Finding the Fourth Proportional to 103,484, 142,808.10 and 58,772

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Solution

The fourth proportional to 103,484, 142,808.10 and 58,772 is: 81,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,484 : 142,808.10 = 58,772 : x
  2. Step 2: Convert to fraction form
    103,484/142,808.10 = 58,772/x
  3. Step 3: Cross multiply
    103,484x = 142,808.10 × 58,772
  4. Step 4: Simplify right side
    103,484x = 8,393,117,653.20
  5. Step 5: Solve for x
    x = 8,393,117,653.20/103,484
  6. Step 6: Final answer
    x = 81,105.46

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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.