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Finding the Fourth Proportional to 210,829.32, 316,368.72 and 77,802.21

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Solution

The fourth proportional to 210,829.32, 316,368.72 and 77,802.21 is: 116,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,829.32 : 316,368.72 = 77,802.21 : x
  2. Step 2: Convert to fraction form
    210,829.32/316,368.72 = 77,802.21/x
  3. Step 3: Cross multiply
    210,829.32x = 316,368.72 × 77,802.21
  4. Step 4: Simplify right side
    210,829.32x = 24,614,185,590.87
  5. Step 5: Solve for x
    x = 24,614,185,590.87/210,829.32
  6. Step 6: Final answer
    x = 116,749.35

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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.