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Finding the Fourth Proportional to 98,285.84, 147,386.64 and 45,689.84

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Solution

The fourth proportional to 98,285.84, 147,386.64 and 45,689.84 is: 68,515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,285.84 : 147,386.64 = 45,689.84 : x
  2. Step 2: Convert to fraction form
    98,285.84/147,386.64 = 45,689.84/x
  3. Step 3: Cross multiply
    98,285.84x = 147,386.64 × 45,689.84
  4. Step 4: Simplify right side
    98,285.84x = 6,734,071,999.74
  5. Step 5: Solve for x
    x = 6,734,071,999.74/98,285.84
  6. Step 6: Final answer
    x = 68,515.18

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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.