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Finding the Fourth Proportional to 102,307.98, 153,482.85 and 43,143.54

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Solution

The fourth proportional to 102,307.98, 153,482.85 and 43,143.54 is: 64,724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,307.98 : 153,482.85 = 43,143.54 : x
  2. Step 2: Convert to fraction form
    102,307.98/153,482.85 = 43,143.54/x
  3. Step 3: Cross multiply
    102,307.98x = 153,482.85 × 43,143.54
  4. Step 4: Simplify right side
    102,307.98x = 6,621,793,478.29
  5. Step 5: Solve for x
    x = 6,621,793,478.29/102,307.98
  6. Step 6: Final answer
    x = 64,724.12

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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.