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Finding the Fourth Proportional to 152,922, 211,041.72 and 85,854

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Solution

The fourth proportional to 152,922, 211,041.72 and 85,854 is: 118,483.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,922 : 211,041.72 = 85,854 : x
  2. Step 2: Convert to fraction form
    152,922/211,041.72 = 85,854/x
  3. Step 3: Cross multiply
    152,922x = 211,041.72 × 85,854
  4. Step 4: Simplify right side
    152,922x = 18,118,775,828.88
  5. Step 5: Solve for x
    x = 18,118,775,828.88/152,922
  6. Step 6: Final answer
    x = 118,483.77

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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.