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Finding the Fourth Proportional to 153,303.64, 211,565.12 and 85,323.48

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Solution

The fourth proportional to 153,303.64, 211,565.12 and 85,323.48 is: 117,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,303.64 : 211,565.12 = 85,323.48 : x
  2. Step 2: Convert to fraction form
    153,303.64/211,565.12 = 85,323.48/x
  3. Step 3: Cross multiply
    153,303.64x = 211,565.12 × 85,323.48
  4. Step 4: Simplify right side
    153,303.64x = 18,051,471,065.03
  5. Step 5: Solve for x
    x = 18,051,471,065.03/153,303.64
  6. Step 6: Final answer
    x = 117,749.79

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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.