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Finding the Fourth Proportional to 98,697.94, 147,981.15 and 54,345.58

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Solution

The fourth proportional to 98,697.94, 147,981.15 and 54,345.58 is: 81,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697.94 : 147,981.15 = 54,345.58 : x
  2. Step 2: Convert to fraction form
    98,697.94/147,981.15 = 54,345.58/x
  3. Step 3: Cross multiply
    98,697.94x = 147,981.15 × 54,345.58
  4. Step 4: Simplify right side
    98,697.94x = 8,042,121,425.82
  5. Step 5: Solve for x
    x = 8,042,121,425.82/98,697.94
  6. Step 6: Final answer
    x = 81,482.16

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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.