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Finding the Fourth Proportional to 210,904.70, 316,384.80 and 77,878.40

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Solution

The fourth proportional to 210,904.70, 316,384.80 and 77,878.40 is: 116,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,904.70 : 316,384.80 = 77,878.40 : x
  2. Step 2: Convert to fraction form
    210,904.70/316,384.80 = 77,878.40/x
  3. Step 3: Cross multiply
    210,904.70x = 316,384.80 × 77,878.40
  4. Step 4: Simplify right side
    210,904.70x = 24,639,542,008.32
  5. Step 5: Solve for x
    x = 24,639,542,008.32/210,904.70
  6. Step 6: Final answer
    x = 116,827.85

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1.5x scale

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.