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Finding the Fourth Proportional to 153,091, 211,266.66 and 86,023

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Solution

The fourth proportional to 153,091, 211,266.66 and 86,023 is: 118,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,091 : 211,266.66 = 86,023 : x
  2. Step 2: Convert to fraction form
    153,091/211,266.66 = 86,023/x
  3. Step 3: Cross multiply
    153,091x = 211,266.66 × 86,023
  4. Step 4: Simplify right side
    153,091x = 18,173,791,893.18
  5. Step 5: Solve for x
    x = 18,173,791,893.18/153,091
  6. Step 6: Final answer
    x = 118,712.35

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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.