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Finding the Fourth Proportional to 98,695.44, 147,977.40 and 54,343.08

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Solution

The fourth proportional to 98,695.44, 147,977.40 and 54,343.08 is: 81,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,695.44 : 147,977.40 = 54,343.08 : x
  2. Step 2: Convert to fraction form
    98,695.44/147,977.40 = 54,343.08/x
  3. Step 3: Cross multiply
    98,695.44x = 147,977.40 × 54,343.08
  4. Step 4: Simplify right side
    98,695.44x = 8,041,547,686.39
  5. Step 5: Solve for x
    x = 8,041,547,686.39/98,695.44
  6. Step 6: Final answer
    x = 81,478.41

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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.