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Finding the Fourth Proportional to 158,943, 219,345.16 and 87,327.64

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Solution

The fourth proportional to 158,943, 219,345.16 and 87,327.64 is: 120,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,943 : 219,345.16 = 87,327.64 : x
  2. Step 2: Convert to fraction form
    158,943/219,345.16 = 87,327.64/x
  3. Step 3: Cross multiply
    158,943x = 219,345.16 × 87,327.64
  4. Step 4: Simplify right side
    158,943x = 19,154,895,168.22
  5. Step 5: Solve for x
    x = 19,154,895,168.22/158,943
  6. Step 6: Final answer
    x = 120,514.24

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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.