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Finding the Fourth Proportional to 180,528.54, 249,137.16 and 99,956.05

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Solution

The fourth proportional to 180,528.54, 249,137.16 and 99,956.05 is: 137,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,528.54 : 249,137.16 = 99,956.05 : x
  2. Step 2: Convert to fraction form
    180,528.54/249,137.16 = 99,956.05/x
  3. Step 3: Cross multiply
    180,528.54x = 249,137.16 × 99,956.05
  4. Step 4: Simplify right side
    180,528.54x = 24,902,766,421.82
  5. Step 5: Solve for x
    x = 24,902,766,421.82/180,528.54
  6. Step 6: Final answer
    x = 137,943.65

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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.