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Finding the Fourth Proportional to 144,019.31, 216,139.23 and 65,188.90

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Solution

The fourth proportional to 144,019.31, 216,139.23 and 65,188.90 is: 97,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,019.31 : 216,139.23 = 65,188.90 : x
  2. Step 2: Convert to fraction form
    144,019.31/216,139.23 = 65,188.90/x
  3. Step 3: Cross multiply
    144,019.31x = 216,139.23 × 65,188.90
  4. Step 4: Simplify right side
    144,019.31x = 14,089,877,243.91
  5. Step 5: Solve for x
    x = 14,089,877,243.91/144,019.31
  6. Step 6: Final answer
    x = 97,833.25

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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.