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Finding the Fourth Proportional to 56,628, 78,146.64 and 31,482.36

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Solution

The fourth proportional to 56,628, 78,146.64 and 31,482.36 is: 43,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,628 : 78,146.64 = 31,482.36 : x
  2. Step 2: Convert to fraction form
    56,628/78,146.64 = 31,482.36/x
  3. Step 3: Cross multiply
    56,628x = 78,146.64 × 31,482.36
  4. Step 4: Simplify right side
    56,628x = 2,460,240,653.27
  5. Step 5: Solve for x
    x = 2,460,240,653.27/56,628
  6. Step 6: Final answer
    x = 43,445.66

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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.