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Finding the Fourth Proportional to 153,271.16, 211,516.08 and 86,203.16

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Solution

The fourth proportional to 153,271.16, 211,516.08 and 86,203.16 is: 118,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,271.16 : 211,516.08 = 86,203.16 : x
  2. Step 2: Convert to fraction form
    153,271.16/211,516.08 = 86,203.16/x
  3. Step 3: Cross multiply
    153,271.16x = 211,516.08 × 86,203.16
  4. Step 4: Simplify right side
    153,271.16x = 18,233,354,486.81
  5. Step 5: Solve for x
    x = 18,233,354,486.81/153,271.16
  6. Step 6: Final answer
    x = 118,961.42

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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.