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Finding the Fourth Proportional to 103,456.94, 154,970.10 and 99,888.08

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Solution

The fourth proportional to 103,456.94, 154,970.10 and 99,888.08 is: 149,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,456.94 : 154,970.10 = 99,888.08 : x
  2. Step 2: Convert to fraction form
    103,456.94/154,970.10 = 99,888.08/x
  3. Step 3: Cross multiply
    103,456.94x = 154,970.10 × 99,888.08
  4. Step 4: Simplify right side
    103,456.94x = 15,479,665,746.41
  5. Step 5: Solve for x
    x = 15,479,665,746.41/103,456.94
  6. Step 6: Final answer
    x = 149,624.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.