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Finding the Fourth Proportional to 215,907.84, 323,730 and 89,448.48

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Solution

The fourth proportional to 215,907.84, 323,730 and 89,448.48 is: 134,118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,907.84 : 323,730 = 89,448.48 : x
  2. Step 2: Convert to fraction form
    215,907.84/323,730 = 89,448.48/x
  3. Step 3: Cross multiply
    215,907.84x = 323,730 × 89,448.48
  4. Step 4: Simplify right side
    215,907.84x = 28,957,156,430.40
  5. Step 5: Solve for x
    x = 28,957,156,430.40/215,907.84
  6. Step 6: Final answer
    x = 134,118.13

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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.