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Finding the Fourth Proportional to 211,075.94, 316,730.74 and 78,043.46

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Solution

The fourth proportional to 211,075.94, 316,730.74 and 78,043.46 is: 117,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,075.94 : 316,730.74 = 78,043.46 : x
  2. Step 2: Convert to fraction form
    211,075.94/316,730.74 = 78,043.46/x
  3. Step 3: Cross multiply
    211,075.94x = 316,730.74 × 78,043.46
  4. Step 4: Simplify right side
    211,075.94x = 24,718,762,837.96
  5. Step 5: Solve for x
    x = 24,718,762,837.96/211,075.94
  6. Step 6: Final answer
    x = 117,108.39

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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.