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Finding the Fourth Proportional to 103,636.57, 155,457.48 and 77,507.17

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Solution

The fourth proportional to 103,636.57, 155,457.48 and 77,507.17 is: 116,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,636.57 : 155,457.48 = 77,507.17 : x
  2. Step 2: Convert to fraction form
    103,636.57/155,457.48 = 77,507.17/x
  3. Step 3: Cross multiply
    103,636.57x = 155,457.48 × 77,507.17
  4. Step 4: Simplify right side
    103,636.57x = 12,049,069,330.13
  5. Step 5: Solve for x
    x = 12,049,069,330.13/103,636.57
  6. Step 6: Final answer
    x = 116,262.72

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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.