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Finding the Fourth Proportional to 211,054.40, 316,312.80 and 86,254.40

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Solution

The fourth proportional to 211,054.40, 316,312.80 and 86,254.40 is: 129,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,054.40 : 316,312.80 = 86,254.40 : x
  2. Step 2: Convert to fraction form
    211,054.40/316,312.80 = 86,254.40/x
  3. Step 3: Cross multiply
    211,054.40x = 316,312.80 × 86,254.40
  4. Step 4: Simplify right side
    211,054.40x = 27,283,370,776.32
  5. Step 5: Solve for x
    x = 27,283,370,776.32/211,054.40
  6. Step 6: Final answer
    x = 129,271.75

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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.