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Finding the Fourth Proportional to 98,290.53, 147,185.64 and 64,960.65

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Solution

The fourth proportional to 98,290.53, 147,185.64 and 64,960.65 is: 97,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,290.53 : 147,185.64 = 64,960.65 : x
  2. Step 2: Convert to fraction form
    98,290.53/147,185.64 = 64,960.65/x
  3. Step 3: Cross multiply
    98,290.53x = 147,185.64 × 64,960.65
  4. Step 4: Simplify right side
    98,290.53x = 9,561,274,845.07
  5. Step 5: Solve for x
    x = 9,561,274,845.07/98,290.53
  6. Step 6: Final answer
    x = 97,275.65

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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.