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Finding the Fourth Proportional to 213,384.86, 294,477.08 and 117,897.74

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Solution

The fourth proportional to 213,384.86, 294,477.08 and 117,897.74 is: 162,702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,384.86 : 294,477.08 = 117,897.74 : x
  2. Step 2: Convert to fraction form
    213,384.86/294,477.08 = 117,897.74/x
  3. Step 3: Cross multiply
    213,384.86x = 294,477.08 × 117,897.74
  4. Step 4: Simplify right side
    213,384.86x = 34,718,180,151.93
  5. Step 5: Solve for x
    x = 34,718,180,151.93/213,384.86
  6. Step 6: Final answer
    x = 162,702.18

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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.