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Finding the Fourth Proportional to 140,477.32, 210,710.36 and 77,422.44

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Solution

The fourth proportional to 140,477.32, 210,710.36 and 77,422.44 is: 116,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477.32 : 210,710.36 = 77,422.44 : x
  2. Step 2: Convert to fraction form
    140,477.32/210,710.36 = 77,422.44/x
  3. Step 3: Cross multiply
    140,477.32x = 210,710.36 × 77,422.44
  4. Step 4: Simplify right side
    140,477.32x = 16,313,710,204.48
  5. Step 5: Solve for x
    x = 16,313,710,204.48/140,477.32
  6. Step 6: Final answer
    x = 116,130.56

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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.