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Finding the Fourth Proportional to 210,945.66, 316,384.46 and 77,888.58

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Solution

The fourth proportional to 210,945.66, 316,384.46 and 77,888.58 is: 116,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,945.66 : 316,384.46 = 77,888.58 : x
  2. Step 2: Convert to fraction form
    210,945.66/316,384.46 = 77,888.58/x
  3. Step 3: Cross multiply
    210,945.66x = 316,384.46 × 77,888.58
  4. Step 4: Simplify right side
    210,945.66x = 24,642,736,323.47
  5. Step 5: Solve for x
    x = 24,642,736,323.47/210,945.66
  6. Step 6: Final answer
    x = 116,820.30

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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.