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Finding the Fourth Proportional to 229,070, 316,151.16 and 139,697.84

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Solution

The fourth proportional to 229,070, 316,151.16 and 139,697.84 is: 192,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,070 : 316,151.16 = 139,697.84 : x
  2. Step 2: Convert to fraction form
    229,070/316,151.16 = 139,697.84/x
  3. Step 3: Cross multiply
    229,070x = 316,151.16 × 139,697.84
  4. Step 4: Simplify right side
    229,070x = 44,165,634,165.49
  5. Step 5: Solve for x
    x = 44,165,634,165.49/229,070
  6. Step 6: Final answer
    x = 192,804.10

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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.