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Finding the Fourth Proportional to 102,155.63, 153,233.44 and 28,283.63

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Solution

The fourth proportional to 102,155.63, 153,233.44 and 28,283.63 is: 42,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,155.63 : 153,233.44 = 28,283.63 : x
  2. Step 2: Convert to fraction form
    102,155.63/153,233.44 = 28,283.63/x
  3. Step 3: Cross multiply
    102,155.63x = 153,233.44 × 28,283.63
  4. Step 4: Simplify right side
    102,155.63x = 4,333,997,083.71
  5. Step 5: Solve for x
    x = 4,333,997,083.71/102,155.63
  6. Step 6: Final answer
    x = 42,425.44

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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.