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Finding the Fourth Proportional to 213,465, 294,587.58 and 117,977.88

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Solution

The fourth proportional to 213,465, 294,587.58 and 117,977.88 is: 162,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,465 : 294,587.58 = 117,977.88 : x
  2. Step 2: Convert to fraction form
    213,465/294,587.58 = 117,977.88/x
  3. Step 3: Cross multiply
    213,465x = 294,587.58 × 117,977.88
  4. Step 4: Simplify right side
    213,465x = 34,754,818,162.73
  5. Step 5: Solve for x
    x = 34,754,818,162.73/213,465
  6. Step 6: Final answer
    x = 162,812.72

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1.5x scale

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.