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Finding the Fourth Proportional to 147,509.60, 203,510.75 and 87,050

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Solution

The fourth proportional to 147,509.60, 203,510.75 and 87,050 is: 120,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,509.60 : 203,510.75 = 87,050 : x
  2. Step 2: Convert to fraction form
    147,509.60/203,510.75 = 87,050/x
  3. Step 3: Cross multiply
    147,509.60x = 203,510.75 × 87,050
  4. Step 4: Simplify right side
    147,509.60x = 17,715,610,787.50
  5. Step 5: Solve for x
    x = 17,715,610,787.50/147,509.60
  6. Step 6: Final answer
    x = 120,098.02

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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.