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Finding the Fourth Proportional to 56,909.32, 78,537 and 31,763.68

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Solution

The fourth proportional to 56,909.32, 78,537 and 31,763.68 is: 43,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,909.32 : 78,537 = 31,763.68 : x
  2. Step 2: Convert to fraction form
    56,909.32/78,537 = 31,763.68/x
  3. Step 3: Cross multiply
    56,909.32x = 78,537 × 31,763.68
  4. Step 4: Simplify right side
    56,909.32x = 2,494,624,136.16
  5. Step 5: Solve for x
    x = 2,494,624,136.16/56,909.32
  6. Step 6: Final answer
    x = 43,835.07

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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.