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Finding the Fourth Proportional to 103,005.20, 144,622 and 103,005.20

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Solution

The fourth proportional to 103,005.20, 144,622 and 103,005.20 is: 144,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,005.20 : 144,622 = 103,005.20 : x
  2. Step 2: Convert to fraction form
    103,005.20/144,622 = 103,005.20/x
  3. Step 3: Cross multiply
    103,005.20x = 144,622 × 103,005.20
  4. Step 4: Simplify right side
    103,005.20x = 14,896,818,034.40
  5. Step 5: Solve for x
    x = 14,896,818,034.40/103,005.20
  6. Step 6: Final answer
    x = 144,622

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.