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Finding the Fourth Proportional to 211,312.98, 316,852.83 and 86,741.46

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Solution

The fourth proportional to 211,312.98, 316,852.83 and 86,741.46 is: 130,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312.98 : 316,852.83 = 86,741.46 : x
  2. Step 2: Convert to fraction form
    211,312.98/316,852.83 = 86,741.46/x
  3. Step 3: Cross multiply
    211,312.98x = 316,852.83 × 86,741.46
  4. Step 4: Simplify right side
    211,312.98x = 27,484,277,079.33
  5. Step 5: Solve for x
    x = 27,484,277,079.33/211,312.98
  6. Step 6: Final answer
    x = 130,064.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.