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Finding the Fourth Proportional to 152,977.68, 211,130.28 and 85,914

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Solution

The fourth proportional to 152,977.68, 211,130.28 and 85,914 is: 118,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,977.68 : 211,130.28 = 85,914 : x
  2. Step 2: Convert to fraction form
    152,977.68/211,130.28 = 85,914/x
  3. Step 3: Cross multiply
    152,977.68x = 211,130.28 × 85,914
  4. Step 4: Simplify right side
    152,977.68x = 18,139,046,875.92
  5. Step 5: Solve for x
    x = 18,139,046,875.92/152,977.68
  6. Step 6: Final answer
    x = 118,573.16

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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.