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Finding the Fourth Proportional to 98,385, 147,602.42 and 28,264.32

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Solution

The fourth proportional to 98,385, 147,602.42 and 28,264.32 is: 42,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,385 : 147,602.42 = 28,264.32 : x
  2. Step 2: Convert to fraction form
    98,385/147,602.42 = 28,264.32/x
  3. Step 3: Cross multiply
    98,385x = 147,602.42 × 28,264.32
  4. Step 4: Simplify right side
    98,385x = 4,171,881,890.33
  5. Step 5: Solve for x
    x = 4,171,881,890.33/98,385
  6. Step 6: Final answer
    x = 42,403.64

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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.