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Finding the Fourth Proportional to 288,097.04, 432,145.56 and 77,734.98

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Solution

The fourth proportional to 288,097.04, 432,145.56 and 77,734.98 is: 116,602.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,097.04 : 432,145.56 = 77,734.98 : x
  2. Step 2: Convert to fraction form
    288,097.04/432,145.56 = 77,734.98/x
  3. Step 3: Cross multiply
    288,097.04x = 432,145.56 × 77,734.98
  4. Step 4: Simplify right side
    288,097.04x = 33,592,826,463.69
  5. Step 5: Solve for x
    x = 33,592,826,463.69/288,097.04
  6. Step 6: Final answer
    x = 116,602.47

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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.