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Finding the Fourth Proportional to 56,461.96, 77,918.10 and 31,313.08

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Solution

The fourth proportional to 56,461.96, 77,918.10 and 31,313.08 is: 43,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.96 : 77,918.10 = 31,313.08 : x
  2. Step 2: Convert to fraction form
    56,461.96/77,918.10 = 31,313.08/x
  3. Step 3: Cross multiply
    56,461.96x = 77,918.10 × 31,313.08
  4. Step 4: Simplify right side
    56,461.96x = 2,439,855,698.75
  5. Step 5: Solve for x
    x = 2,439,855,698.75/56,461.96
  6. Step 6: Final answer
    x = 43,212.38

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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.