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Finding the Fourth Proportional to 101,646.34, 140,405.70 and 78,064.39

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Solution

The fourth proportional to 101,646.34, 140,405.70 and 78,064.39 is: 107,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.34 : 140,405.70 = 78,064.39 : x
  2. Step 2: Convert to fraction form
    101,646.34/140,405.70 = 78,064.39/x
  3. Step 3: Cross multiply
    101,646.34x = 140,405.70 × 78,064.39
  4. Step 4: Simplify right side
    101,646.34x = 10,960,685,323.02
  5. Step 5: Solve for x
    x = 10,960,685,323.02/101,646.34
  6. Step 6: Final answer
    x = 107,831.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.