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Finding the Fourth Proportional to 190,970.80, 286,184.64 and 140,655.28

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Solution

The fourth proportional to 190,970.80, 286,184.64 and 140,655.28 is: 210,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,970.80 : 286,184.64 = 140,655.28 : x
  2. Step 2: Convert to fraction form
    190,970.80/286,184.64 = 140,655.28/x
  3. Step 3: Cross multiply
    190,970.80x = 286,184.64 × 140,655.28
  4. Step 4: Simplify right side
    190,970.80x = 40,253,380,670.90
  5. Step 5: Solve for x
    x = 40,253,380,670.90/190,970.80
  6. Step 6: Final answer
    x = 210,782.91

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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.