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Finding the Fourth Proportional to 216,518.64, 298,798 and 121,030.58

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Solution

The fourth proportional to 216,518.64, 298,798 and 121,030.58 is: 167,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,518.64 : 298,798 = 121,030.58 : x
  2. Step 2: Convert to fraction form
    216,518.64/298,798 = 121,030.58/x
  3. Step 3: Cross multiply
    216,518.64x = 298,798 × 121,030.58
  4. Step 4: Simplify right side
    216,518.64x = 36,163,695,242.84
  5. Step 5: Solve for x
    x = 36,163,695,242.84/216,518.64
  6. Step 6: Final answer
    x = 167,023.47

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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.