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Finding the Fourth Proportional to 153,224, 211,447.04 and 86,156.16

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Solution

The fourth proportional to 153,224, 211,447.04 and 86,156.16 is: 118,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,224 : 211,447.04 = 86,156.16 : x
  2. Step 2: Convert to fraction form
    153,224/211,447.04 = 86,156.16/x
  3. Step 3: Cross multiply
    153,224x = 211,447.04 × 86,156.16
  4. Step 4: Simplify right side
    153,224x = 18,217,465,009.77
  5. Step 5: Solve for x
    x = 18,217,465,009.77/153,224
  6. Step 6: Final answer
    x = 118,894.33

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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.