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Finding the Fourth Proportional to 99,970.82, 137,959.70 and 54,648.98

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Solution

The fourth proportional to 99,970.82, 137,959.70 and 54,648.98 is: 75,415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,970.82 : 137,959.70 = 54,648.98 : x
  2. Step 2: Convert to fraction form
    99,970.82/137,959.70 = 54,648.98/x
  3. Step 3: Cross multiply
    99,970.82x = 137,959.70 × 54,648.98
  4. Step 4: Simplify right side
    99,970.82x = 7,539,356,886.11
  5. Step 5: Solve for x
    x = 7,539,356,886.11/99,970.82
  6. Step 6: Final answer
    x = 75,415.58

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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.