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Finding the Fourth Proportional to 99,756.76, 149,547.54 and 40,642.16

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Solution

The fourth proportional to 99,756.76, 149,547.54 and 40,642.16 is: 60,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,756.76 : 149,547.54 = 40,642.16 : x
  2. Step 2: Convert to fraction form
    99,756.76/149,547.54 = 40,642.16/x
  3. Step 3: Cross multiply
    99,756.76x = 149,547.54 × 40,642.16
  4. Step 4: Simplify right side
    99,756.76x = 6,077,935,048.29
  5. Step 5: Solve for x
    x = 6,077,935,048.29/99,756.76
  6. Step 6: Final answer
    x = 60,927.55

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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.