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Finding the Fourth Proportional to 103,516, 142,852.08 and 58,804

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Solution

The fourth proportional to 103,516, 142,852.08 and 58,804 is: 81,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,516 : 142,852.08 = 58,804 : x
  2. Step 2: Convert to fraction form
    103,516/142,852.08 = 58,804/x
  3. Step 3: Cross multiply
    103,516x = 142,852.08 × 58,804
  4. Step 4: Simplify right side
    103,516x = 8,400,273,712.32
  5. Step 5: Solve for x
    x = 8,400,273,712.32/103,516
  6. Step 6: Final answer
    x = 81,149.52

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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.