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Finding the Fourth Proportional to 205,875.40, 308,582.70 and 87,526.60

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Solution

The fourth proportional to 205,875.40, 308,582.70 and 87,526.60 is: 131,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,875.40 : 308,582.70 = 87,526.60 : x
  2. Step 2: Convert to fraction form
    205,875.40/308,582.70 = 87,526.60/x
  3. Step 3: Cross multiply
    205,875.40x = 308,582.70 × 87,526.60
  4. Step 4: Simplify right side
    205,875.40x = 27,009,194,549.82
  5. Step 5: Solve for x
    x = 27,009,194,549.82/205,875.40
  6. Step 6: Final answer
    x = 131,191.95

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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.