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Finding the Fourth Proportional to 98,742, 136,264.05 and 54,030

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Solution

The fourth proportional to 98,742, 136,264.05 and 54,030 is: 74,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,742 : 136,264.05 = 54,030 : x
  2. Step 2: Convert to fraction form
    98,742/136,264.05 = 54,030/x
  3. Step 3: Cross multiply
    98,742x = 136,264.05 × 54,030
  4. Step 4: Simplify right side
    98,742x = 7,362,346,621.50
  5. Step 5: Solve for x
    x = 7,362,346,621.50/98,742
  6. Step 6: Final answer
    x = 74,561.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.