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Finding the Fourth Proportional to 56,149, 77,485.64 and 31,000.12

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Solution

The fourth proportional to 56,149, 77,485.64 and 31,000.12 is: 42,780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,149 : 77,485.64 = 31,000.12 : x
  2. Step 2: Convert to fraction form
    56,149/77,485.64 = 31,000.12/x
  3. Step 3: Cross multiply
    56,149x = 77,485.64 × 31,000.12
  4. Step 4: Simplify right side
    56,149x = 2,402,064,138.28
  5. Step 5: Solve for x
    x = 2,402,064,138.28/56,149
  6. Step 6: Final answer
    x = 42,780.18

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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.