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Finding the Fourth Proportional to 72,065.40, 108,017.10 and 34,643.40

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Solution

The fourth proportional to 72,065.40, 108,017.10 and 34,643.40 is: 51,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065.40 : 108,017.10 = 34,643.40 : x
  2. Step 2: Convert to fraction form
    72,065.40/108,017.10 = 34,643.40/x
  3. Step 3: Cross multiply
    72,065.40x = 108,017.10 × 34,643.40
  4. Step 4: Simplify right side
    72,065.40x = 3,742,079,602.14
  5. Step 5: Solve for x
    x = 3,742,079,602.14/72,065.40
  6. Step 6: Final answer
    x = 51,926.16

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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.