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Finding the Fourth Proportional to 205,038.76, 307,695.40 and 85,095.80

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Solution

The fourth proportional to 205,038.76, 307,695.40 and 85,095.80 is: 127,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,038.76 : 307,695.40 = 85,095.80 : x
  2. Step 2: Convert to fraction form
    205,038.76/307,695.40 = 85,095.80/x
  3. Step 3: Cross multiply
    205,038.76x = 307,695.40 × 85,095.80
  4. Step 4: Simplify right side
    205,038.76x = 26,183,586,219.32
  5. Step 5: Solve for x
    x = 26,183,586,219.32/205,038.76
  6. Step 6: Final answer
    x = 127,700.67

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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.