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Finding the Fourth Proportional to 102,069.79, 153,129.80 and 35,510.50

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Solution

The fourth proportional to 102,069.79, 153,129.80 and 35,510.50 is: 53,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,069.79 : 153,129.80 = 35,510.50 : x
  2. Step 2: Convert to fraction form
    102,069.79/153,129.80 = 35,510.50/x
  3. Step 3: Cross multiply
    102,069.79x = 153,129.80 × 35,510.50
  4. Step 4: Simplify right side
    102,069.79x = 5,437,715,181.73
  5. Step 5: Solve for x
    x = 5,437,715,181.73/102,069.79
  6. Step 6: Final answer
    x = 53,274.48

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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.