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Finding the Fourth Proportional to 153,312, 229,968 and 42,504

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Solution

The fourth proportional to 153,312, 229,968 and 42,504 is: 63,756

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312 : 229,968 = 42,504 : x
  2. Step 2: Convert to fraction form
    153,312/229,968 = 42,504/x
  3. Step 3: Cross multiply
    153,312x = 229,968 × 42,504
  4. Step 4: Simplify right side
    153,312x = 9,774,559,872
  5. Step 5: Solve for x
    x = 9,774,559,872/153,312
  6. Step 6: Final answer
    x = 63,756

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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.