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Finding the Fourth Proportional to 210,903.18, 316,384.83 and 77,773.13

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Solution

The fourth proportional to 210,903.18, 316,384.83 and 77,773.13 is: 116,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.18 : 316,384.83 = 77,773.13 : x
  2. Step 2: Convert to fraction form
    210,903.18/316,384.83 = 77,773.13/x
  3. Step 3: Cross multiply
    210,903.18x = 316,384.83 × 77,773.13
  4. Step 4: Simplify right side
    210,903.18x = 24,606,236,931.69
  5. Step 5: Solve for x
    x = 24,606,236,931.69/210,903.18
  6. Step 6: Final answer
    x = 116,670.77

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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.