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Finding the Fourth Proportional to 200,814.81, 277,075.53 and 115,931.67

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Solution

The fourth proportional to 200,814.81, 277,075.53 and 115,931.67 is: 159,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,814.81 : 277,075.53 = 115,931.67 : x
  2. Step 2: Convert to fraction form
    200,814.81/277,075.53 = 115,931.67/x
  3. Step 3: Cross multiply
    200,814.81x = 277,075.53 × 115,931.67
  4. Step 4: Simplify right side
    200,814.81x = 32,121,828,909.04
  5. Step 5: Solve for x
    x = 32,121,828,909.04/200,814.81
  6. Step 6: Final answer
    x = 159,957.47

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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.