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Finding the Fourth Proportional to 107,535.40, 161,303.10 and 77,813.80

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Solution

The fourth proportional to 107,535.40, 161,303.10 and 77,813.80 is: 116,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,535.40 : 161,303.10 = 77,813.80 : x
  2. Step 2: Convert to fraction form
    107,535.40/161,303.10 = 77,813.80/x
  3. Step 3: Cross multiply
    107,535.40x = 161,303.10 × 77,813.80
  4. Step 4: Simplify right side
    107,535.40x = 12,551,607,162.78
  5. Step 5: Solve for x
    x = 12,551,607,162.78/107,535.40
  6. Step 6: Final answer
    x = 116,720.70

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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.