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Finding the Fourth Proportional to 228,407.69, 342,681.62 and 102,154.14

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Solution

The fourth proportional to 228,407.69, 342,681.62 and 102,154.14 is: 153,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,407.69 : 342,681.62 = 102,154.14 : x
  2. Step 2: Convert to fraction form
    228,407.69/342,681.62 = 102,154.14/x
  3. Step 3: Cross multiply
    228,407.69x = 342,681.62 × 102,154.14
  4. Step 4: Simplify right side
    228,407.69x = 35,006,345,674.14
  5. Step 5: Solve for x
    x = 35,006,345,674.14/228,407.69
  6. Step 6: Final answer
    x = 153,262.55

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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.