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Finding the Fourth Proportional to 107,505.40, 161,258.10 and 77,783.80

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Solution

The fourth proportional to 107,505.40, 161,258.10 and 77,783.80 is: 116,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,505.40 : 161,258.10 = 77,783.80 : x
  2. Step 2: Convert to fraction form
    107,505.40/161,258.10 = 77,783.80/x
  3. Step 3: Cross multiply
    107,505.40x = 161,258.10 × 77,783.80
  4. Step 4: Simplify right side
    107,505.40x = 12,543,267,798.78
  5. Step 5: Solve for x
    x = 12,543,267,798.78/107,505.40
  6. Step 6: Final answer
    x = 116,675.70

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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.