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Finding the Fourth Proportional to 152,964, 211,090.32 and 85,896

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Solution

The fourth proportional to 152,964, 211,090.32 and 85,896 is: 118,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,964 : 211,090.32 = 85,896 : x
  2. Step 2: Convert to fraction form
    152,964/211,090.32 = 85,896/x
  3. Step 3: Cross multiply
    152,964x = 211,090.32 × 85,896
  4. Step 4: Simplify right side
    152,964x = 18,131,814,126.72
  5. Step 5: Solve for x
    x = 18,131,814,126.72/152,964
  6. Step 6: Final answer
    x = 118,536.48

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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.