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Finding the Fourth Proportional to 153,009.10, 211,148.32 and 85,024.31

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Solution

The fourth proportional to 153,009.10, 211,148.32 and 85,024.31 is: 117,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009.10 : 211,148.32 = 85,024.31 : x
  2. Step 2: Convert to fraction form
    153,009.10/211,148.32 = 85,024.31/x
  3. Step 3: Cross multiply
    153,009.10x = 211,148.32 × 85,024.31
  4. Step 4: Simplify right side
    153,009.10x = 17,952,740,215.66
  5. Step 5: Solve for x
    x = 17,952,740,215.66/153,009.10
  6. Step 6: Final answer
    x = 117,331.19

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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.