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Finding the Fourth Proportional to 288,103.04, 432,154.56 and 77,740.96

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Solution

The fourth proportional to 288,103.04, 432,154.56 and 77,740.96 is: 116,611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,103.04 : 432,154.56 = 77,740.96 : x
  2. Step 2: Convert to fraction form
    288,103.04/432,154.56 = 77,740.96/x
  3. Step 3: Cross multiply
    288,103.04x = 432,154.56 × 77,740.96
  4. Step 4: Simplify right side
    288,103.04x = 33,596,110,362.78
  5. Step 5: Solve for x
    x = 33,596,110,362.78/288,103.04
  6. Step 6: Final answer
    x = 116,611.44

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1.5x scale

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.