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Finding the Fourth Proportional to 142,100.80, 212,870.40 and 72,030.40

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Solution

The fourth proportional to 142,100.80, 212,870.40 and 72,030.40 is: 107,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,100.80 : 212,870.40 = 72,030.40 : x
  2. Step 2: Convert to fraction form
    142,100.80/212,870.40 = 72,030.40/x
  3. Step 3: Cross multiply
    142,100.80x = 212,870.40 × 72,030.40
  4. Step 4: Simplify right side
    142,100.80x = 15,333,140,060.16
  5. Step 5: Solve for x
    x = 15,333,140,060.16/142,100.80
  6. Step 6: Final answer
    x = 107,903.26

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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.