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Finding the Fourth Proportional to 102,407.25, 153,636.80 and 28,535.25

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Solution

The fourth proportional to 102,407.25, 153,636.80 and 28,535.25 is: 42,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,407.25 : 153,636.80 = 28,535.25 : x
  2. Step 2: Convert to fraction form
    102,407.25/153,636.80 = 28,535.25/x
  3. Step 3: Cross multiply
    102,407.25x = 153,636.80 × 28,535.25
  4. Step 4: Simplify right side
    102,407.25x = 4,384,064,354.52
  5. Step 5: Solve for x
    x = 4,384,064,354.52/102,407.25
  6. Step 6: Final answer
    x = 42,810.10

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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.