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Finding the Fourth Proportional to 94,284, 130,111.92 and 56,570.40

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Solution

The fourth proportional to 94,284, 130,111.92 and 56,570.40 is: 78,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,284 : 130,111.92 = 56,570.40 : x
  2. Step 2: Convert to fraction form
    94,284/130,111.92 = 56,570.40/x
  3. Step 3: Cross multiply
    94,284x = 130,111.92 × 56,570.40
  4. Step 4: Simplify right side
    94,284x = 7,360,483,359.17
  5. Step 5: Solve for x
    x = 7,360,483,359.17/94,284
  6. Step 6: Final answer
    x = 78,067.15

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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.