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Finding the Fourth Proportional to 286,357.23, 429,550.70 and 73,127.16

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Solution

The fourth proportional to 286,357.23, 429,550.70 and 73,127.16 is: 109,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,357.23 : 429,550.70 = 73,127.16 : x
  2. Step 2: Convert to fraction form
    286,357.23/429,550.70 = 73,127.16/x
  3. Step 3: Cross multiply
    286,357.23x = 429,550.70 × 73,127.16
  4. Step 4: Simplify right side
    286,357.23x = 31,411,822,401.38
  5. Step 5: Solve for x
    x = 31,411,822,401.38/286,357.23
  6. Step 6: Final answer
    x = 109,694.53

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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.