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Finding the Fourth Proportional to 56,178, 77,525.64 and 31,029.12

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Solution

The fourth proportional to 56,178, 77,525.64 and 31,029.12 is: 42,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178 : 77,525.64 = 31,029.12 : x
  2. Step 2: Convert to fraction form
    56,178/77,525.64 = 31,029.12/x
  3. Step 3: Cross multiply
    56,178x = 77,525.64 × 31,029.12
  4. Step 4: Simplify right side
    56,178x = 2,405,552,386.64
  5. Step 5: Solve for x
    x = 2,405,552,386.64/56,178
  6. Step 6: Final answer
    x = 42,820.19

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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.