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Finding the Fourth Proportional to 205,154.60, 307,760.70 and 64,898.60

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Solution

The fourth proportional to 205,154.60, 307,760.70 and 64,898.60 is: 97,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,154.60 : 307,760.70 = 64,898.60 : x
  2. Step 2: Convert to fraction form
    205,154.60/307,760.70 = 64,898.60/x
  3. Step 3: Cross multiply
    205,154.60x = 307,760.70 × 64,898.60
  4. Step 4: Simplify right side
    205,154.60x = 19,973,238,565.02
  5. Step 5: Solve for x
    x = 19,973,238,565.02/205,154.60
  6. Step 6: Final answer
    x = 97,357.01

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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.