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Finding the Fourth Proportional to 140,312.80, 210,323.40 and 77,035.60

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Solution

The fourth proportional to 140,312.80, 210,323.40 and 77,035.60 is: 115,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,312.80 : 210,323.40 = 77,035.60 : x
  2. Step 2: Convert to fraction form
    140,312.80/210,323.40 = 77,035.60/x
  3. Step 3: Cross multiply
    140,312.80x = 210,323.40 × 77,035.60
  4. Step 4: Simplify right side
    140,312.80x = 16,202,389,313.04
  5. Step 5: Solve for x
    x = 16,202,389,313.04/140,312.80
  6. Step 6: Final answer
    x = 115,473.35

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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.