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Finding the Fourth Proportional to 142,814.40, 214,124.40 and 67,970.40

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Solution

The fourth proportional to 142,814.40, 214,124.40 and 67,970.40 is: 101,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,814.40 : 214,124.40 = 67,970.40 : x
  2. Step 2: Convert to fraction form
    142,814.40/214,124.40 = 67,970.40/x
  3. Step 3: Cross multiply
    142,814.40x = 214,124.40 × 67,970.40
  4. Step 4: Simplify right side
    142,814.40x = 14,554,121,117.76
  5. Step 5: Solve for x
    x = 14,554,121,117.76/142,814.40
  6. Step 6: Final answer
    x = 101,909.34

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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.