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Finding the Fourth Proportional to 96,298.75, 144,482.34 and 42,985.90

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Solution

The fourth proportional to 96,298.75, 144,482.34 and 42,985.90 is: 64,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,298.75 : 144,482.34 = 42,985.90 : x
  2. Step 2: Convert to fraction form
    96,298.75/144,482.34 = 42,985.90/x
  3. Step 3: Cross multiply
    96,298.75x = 144,482.34 × 42,985.90
  4. Step 4: Simplify right side
    96,298.75x = 6,210,703,419.01
  5. Step 5: Solve for x
    x = 6,210,703,419.01/96,298.75
  6. Step 6: Final answer
    x = 64,494.12

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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.